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Finding the Fourth Proportional to 1,340.75, 1,850.20 and 751.30

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Solution

The fourth proportional to 1,340.75, 1,850.20 and 751.30 is: 1,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.75 : 1,850.20 = 751.30 : x
  2. Step 2: Convert to fraction form
    1,340.75/1,850.20 = 751.30/x
  3. Step 3: Cross multiply
    1,340.75x = 1,850.20 × 751.30
  4. Step 4: Simplify right side
    1,340.75x = 1,390,048.76
  5. Step 5: Solve for x
    x = 1,390,048.76/1,340.75
  6. Step 6: Final answer
    x = 1,036.77

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.